What is the implicit derivative of the following equation?
What is the implicit derivative of the following equation? y= (4 + cos²(x))
Consider the following. cos(x) + y = 4 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y' =
Question 24 Find the indicated derivative. Find y" if y = -4 COS X. Oy"=-4 COS X Oy" = -4 sin x Oy" = 4 sin x Oy" = 4 cos x
Find the derivative of y with respect to x. y = cos -(11x2 + 4)
4. Find the partial derivative of the following equation with respect to x and y:
1. Express the limit as a derivative and evaluate. 17 lim 16+h-2 lim 2. Calculate y. tan x 1 + cos x y sin(cos x) y= sec(1 +x2) x cos y + sin 2y xy Use an Implicit Differentiation] 3. Find y" if x, y,6-1. [Use Implicit Differentiation] 4. Find an equation of the tangent to the curve at the given point. 121 12+ 1 [Use Implicit Differentiation] 4. Find the points on the ellipse x2 + tangent line has...
Determine whether the equation is exact. If it is, then solve it. (cos x cos y - 10x)dx - (sin x sin y + 2y)dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The...
Find the derivative of y with respect to x. y = -cos-1
need help please 3 and 4. find fhe derivative of y and simplify. cOS X 3. y= 1+ cos x We were unable to transcribe this image
9. Derive the formula for the derivative of arctan x. Hint: Use implicit differentiation on y = arctanx, draw a right triangle with y as the angle.
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x) a) f(x) = 1-tan(x) b) f(x) – tan-" (4x²) dy 12. Consider the equation x² + xy + y² = 1. Find an expression for by implicit differentiation. dx